Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 383/835, 782/835 quickly i.e. 299506/835 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 383/835, 782/835 is 299506/835.
LCM(383/835, 782/835) = 299506/835
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 383/835,782/835
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 383,782
Least Common Multiple of Numerators i.e. LCM of 383,782 is 299506.
GCF of Denominators means GCF of 835,835 as per the given fractions.
GCF of 835,835 is 835 as it is the largest common factor for these numbers.
Lets's calculate LCM of 383,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 299506
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 383,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,782) x common factors =1 x 1 = 1
LCM(383,782) = ( 383 × 782 ) / 1
LCM(383,782) = 299506 / 1
LCM(383,782) = 299506
Lets's calculate GCF of 835,835
5 | 835, 835 |
167 | 167, 167 |
1, 1 |
∴ So the GCF of the given numbers is 5 x 167 = 835
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 299506/835
Therefore the LCM of Fractions 383/835,782/835 is 299506/835
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 835,835 . The biggest common factor number is the GCF number.
So the greatest common factor 835,835 is 835.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 383/835, 782/835?
Answer: LCM of Numerators as per given numbers 383/835, 782/835 is
LCM of Numerators i.e. for 383,782 is 299506
GCF of denominators i.e. for 835,835 is 835.
Thus, LCM of Fractions is 299506/835.Finally, LCM of Fractions for 383/835, 782/835 is 299506/835.